Logarithmic and Exponential Functions

Front

Evaluate log₅25

Back

2

Front

Write in exponential form: log₃ 6561 = 8

Back

3⁸ = 6561

Front

Log with a base 'e' is the same thing as...

Back

Natural Logarithm (LN)

Front

Write in logarithmic form: 2^-1 = 0.5

Back

log₂ 0.5 = -1

Front

Write in exponential form: log₂ 32 = 5

Back

2⁵ = 32

Front

What is the definition of a logarithm?

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Front

What is the change of base formula for logarithms?

Back

log_b(a) = log_k(a) / log_k(b) for any base k.

Front

What is the natural logarithm?

Back

The natural logarithm is the logarithm to the base 'e', denoted as ln(x).

Front

If log_b(x) = y, what is the equivalent exponential form?

Back

b^y = x.

Front

What is the product rule for logarithms?

Back

log_b(xy) = log_b(x) + log_b(y).